Gehrke, Mai; Walker, Carol; Walker, Elbert DeMorgan systems on the unit interval. (English) Zbl 0865.04005 Int. J. Intell. Syst. 11, No. 10, 733-750 (1996). The paper deals with topics related to logical connectives on fuzzy sets. The main emphasis is laid on systems of connectives with strict Archimedean \(t\)-norms and strong negation. The notions of isomorphism between DeMorgan systems on the unit interval and of generators of operators are used effectively for the considered approach to the theory of logical connectives. The main results show the isomorphism between the considered systems of connectives and those with multiplicative \(t\)-norms. Reviewer: M.Mareš (Praha) Cited in 1 ReviewCited in 18 Documents MSC: 03E72 Theory of fuzzy sets, etc. Keywords:strict Archimedean \(t\)-norms; logical connectives; fuzzy sets; strong negation; DeMorgan systems PDFBibTeX XMLCite \textit{M. Gehrke} et al., Int. J. Intell. Syst. 11, No. 10, 733--750 (1996; Zbl 0865.04005)